The average amount of money spent for lunch per person in the college cafeteria is $6.2 and the standard deviation is $2.54. Suppose that 43 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 6.2 b. What is the distribution of ¤? ¤ ~ N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.2091 and $6.6728. d. For the group of 43 patrons, find the probability that the average lunch cost is between $6.2091 and $6.6728. e. For part d), is the assumption that the distribution is normal necessary? YesO No o

The average amount of money spent for lunch per person in the college cafeteria is $6.2 and the standard deviation is $2.54. Suppose that 43 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 6.2 b. What is the distribution of ¤? ¤ ~ N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.2091 and $6.6728. d. For the group of 43 patrons, find the probability that the average lunch cost is between $6.2091 and $6.6728. e. For part d), is the assumption that the distribution is normal necessary? YesO No o

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

Please answer B, C, & D.

The average amount of money spent for lunch per person in the college
cafeteria is $6.2 and the standard deviation is $2.54. Suppose that 43
randomly selected lunch patrons are observed. Assume the distribution of
money spent is normal, and round all answers to 4 decimal places where
possible.
a. What is the distribution of X? X - N( 6.2
b. What is the distribution of ¤? ¤ ~ N(
c. For a single randomly selected lunch patron, find the probability that
this patron's lunch cost is between $6.2091 and $6.6728.
d. For the group of 43 patrons, find the probability that the average
lunch cost is between $6.2091 and $6.6728.
e. For part d), is the assumption that the distribution is normal
necessary?
YesO No o

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